How do you simplify square root of 169 - square root of 50 - the square root of 8?

Sep 12, 2015

It can be written as: $13 - 7 \sqrt{2}$

Explanation:

$\sqrt{169} = 13$

$\sqrt{50} = \sqrt{25 \cdot 2} = 5 \sqrt{2}$

$\sqrt{8} = \sqrt{4 \cdot 2} = 2 \sqrt{2}$

So you get:

$\sqrt{169} - \sqrt{50} - \sqrt{8} = 13 - 5 \sqrt{2} - 2 \sqrt{2} = 13 - 7 \sqrt{2}$